1126282752 has 320 divisors, whose sum is σ = 3881180160. Its totient is φ = 315850752.

The previous prime is 1126282739. The next prime is 1126282753. The reversal of 1126282752 is 2572826211.

It is a happy number.

1126282752 is a `hidden beast` number, since 1 + 1 + 2 + 628 + 27 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126282753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9967048 + ... + 9967160.

It is an arithmetic number, because the mean of its divisors is an integer number (12128688).

Almost surely, 2^1126282752 is an apocalyptic number.

1126282752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126282752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940590080).

1126282752 is an abundant number, since it is smaller than the sum of its proper divisors (2754897408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1126282752 is a wasteful number, since it uses less digits than its factorization.

1126282752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 1126282752 is about 33560.1363525240. The cubic root of 1126282752 is about 1040.4370549628.

The spelling of 1126282752 in words is "one billion, one hundred twenty-six million, two hundred eighty-two thousand, seven hundred fifty-two".